Two vessels contain milk mixed with water in the ratio 7:3 and 6:5 . The quantity of milk solution (in litres) from the first vessel to be mixed with 33 litres from the second so that the ratio of milk and water becomes 46:27 is?

Question

anonymous · Answer

@ajprincess @apoorvk @amistre64

anonymous · Answer

@satellite73

phi · Answer

ratio of 7:3 mean 7/10 of the solution is milk
we have 0.7 x + 6*33/11 = 46y/73
also x+33= y
solve for x

anonymous · Answer

40?

phi · Answer

that is what I got

anonymous · Answer

The options   35    40   45   50

anonymous · Answer

40 :P

anonymous · Answer

@phi  since there r two unknown  variable how will we solve it

phi · Answer

you have 2 equations.  the 2nd is x+33= y  (the amount of the 1st solution plus 33 liters from the second solution add up to a total of y)

anonymous · Answer

@phi how  x+33= y???

phi · Answer

The quantity of milk solution (in litres) from the first vessel (CALL THIS X) to be mixed with 33 litres from the second
so 
X+33= Y (Y is the 2nd unknown)